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Research map / Learning theory and algorithms / Matrix and tensor methods

Practical Gauss-Newton Optimisation for Deep Learning

ICML 2017 · Learning theory and algorithms › Matrix and tensor methods · approach: Geometry of low-rank and SPD structure · 104 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use KFRA instead of tuned ADAMDeep autoencoder training · CURVES, FACES, and MNISTtraining errorHelped
Use second-order optimisation instead of ADAMDeep autoencoder training · FACESoptimisation stabilityHelped
Use KFRA instead of KFACDeep autoencoder training · CURVES, FACES, and MNISToptimisation performanceHelped
Use second-order optimisation instead of ADAMMNIST even/odd mixture classifier · MNIST even/odd mixturefinal objective valueHurt
Use second-order optimisation instead of ADAMMNIST even/odd mixture classifier · MNIST even/odd mixturewall-clock timeMixed
Use KFLR instead of KFACMNIST even/odd mixture classifier · MNIST even/odd mixtureoptimisation performanceNo clear effect
Add moving-average momentum to curvature matrices (ablation)KFRA and KFAC · CURVES, FACES, and MNISTtraining errorNo clear effect
Add momentum to parameter updates (ablation)Second-order methods · Training experimentsoptimisation stabilityHurt
Use default rather than tuned damping settingsSecond-order methods · CURVES, FACES, and MNISToptimisation performanceHelped

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